There exists no distance-regular graph with intersection array {55,36,11;1,4,45}

preprint2010arXivOpen access

We prove that a distance-regular graph with intersection array $\{55,36,11;1,4,45\}$ does not exist. This intersection array is from the table of feasible parameters for distance-regular graphs in "Distance-regular graphs"\ by A.E. Brouwer, A.M. Cohen, A. Neumaier.

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There exists no distance-regular graph with intersection array {55,36,11;1,4,45}

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